GroupTheory`
GroupTheory`

GTIrep

GTIrep[characters,character table]

gives the number of times an irreducible representation appears in a reducible representation with given characters.

Details and Options

  • For a finite group the number of times that an irreducible representation appears in a reducible representation is given by .
  • All elements in the same class have the same character.
  • The vector characters contains the characters of each class of the reducible representation.
  • The following options can be given:
  • GOFast GOFastValueSkips the input validation
    GOVerbose TrueControls the output of additional information
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 5.7.

Examples

open allclose all

Basic Examples  (1)

First, load the package:

Then run the examples:

Options  (3)

GOFast  (2)

The evaluation time can be decreased, using GOFastTrue.

If GOFastFalse is used, a check of the input will be performed.

GOVerbose  (1)

Using GOVerboseFalse the printed output can be suppressed.